Finding the Third Proportional to 404 and 872
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Solution
The third proportional to 404 and 872 is: 1,882.14
Step by Step Solution
- Step 1: Write the proportion equation
404 : 872 = 872 : x - Step 2: Convert to fraction form
404/872 = 872/x - Step 3: Cross multiply
404x = 872 × 872 - Step 4: Simplify right side
404x = 760,384 - Step 5: Solve for x
x = 760,384/404 - Step 6: Final answer
x = 1,882.14
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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.